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Statistics & Mathematics for Data Science & Data Analytics

Packt - Course Instructors

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This course now features Coursera Coach!

A smarter way to learn with interactive, real-time conversations that help you test your knowledge, challenge assumptions, and deepen your understanding as you progress through the course.

This course equips you with essential statistical and mathematical tools to become proficient in data science and analytics. You will learn key concepts in descriptive statistics, probability theory, regression analysis, hypothesis testing, and more. By the end of the course, you will have a deep understanding of how statistical methods can be applied to solve real-world data problems and enhance data-driven decision-making.

The course begins with an introduction to the basics of descriptive statistics, such as measures of central tendency, dispersion, and the differences between sample and population data. You will then explore distributions, including the normal distribution and Z-scores, and how to apply them in various scenarios. The journey continues with probability theory, where you will tackle concepts like Bayes' theorem, expected value, and the central limit theorem, building a solid foundation for statistical analysis.

Next, you will dive into hypothesis testing and learn how to perform tests like t-tests and proportion testing. You will also understand the significance of confidence intervals, the margin of error, and Type I and Type II errors. The regression section teaches you how to predict data values using linear regression, explore correlation coefficients, and analyze model accuracy with metrics such as MSE and RMSE.

This course is ideal for aspiring data scientists, analysts, and anyone who wants to use statistics to interpret data. No prior knowledge of statistics is required, though familiarity with basic mathematics will be helpful. The course is structured to be engaging and practical, offering exercises and real-world applications that allow you to practice your skills.

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What's inside

Syllabus

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In this module, we will introduce you to the overall course structure, key learning outcomes, and the mindset required to thrive in data science. You'll gain clarity on what to expect and how to approach the course strategically. This foundation sets the tone for an efficient and impactful learning journey.

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Career center

Learners who complete Statistics & Mathematics for Data Science & Data Analytics will develop knowledge and skills that may be useful to these careers:

Statistician

A Statistician is an expert in the collection, analysis, interpretation, presentation, and organization of data. Their work involves designing experiments, developing statistical models, and drawing inferences about populations from samples. The Statistics & Mathematics for Data Science & Data Analytics course is profoundly relevant for an aspiring Statistician, as it covers the foundational and advanced statistical concepts central to the profession. From descriptive statistics and probability theory to in-depth hypothesis testing, regression analysis, and ANOVA, the course builds a robust understanding of core statistical methodologies. Understanding concepts like confidence intervals, Type I and Type II errors, and applying the central limit theorem are indispensable for this role. This career path typically requires an advanced degree.

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Data Scientist

A Data Scientist leverages statistical methods and computational skills to extract insights and build predictive models from complex datasets. This role involves everything from cleaning and processing raw data to applying advanced analytical techniques to solve real-world problems. The Statistics & Mathematics for Data Science & Data Analytics course is foundational for an aspiring Data Scientist, equipping learners with a deep understanding of descriptive statistics, probability theory, hypothesis testing, and various regression techniques. These skills are crucial for developing robust models and interpreting their results accurately. The course's focus on enhancing data-driven decision-making helps prepare individuals to translate complex statistical findings into actionable business strategies. Learning about advanced regression and machine learning algorithms and handling common data challenges are particularly relevant.

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Research Scientist Quantitative

A Research Scientist Quantitative designs and conducts experiments, analyzes data, and develops models to advance scientific understanding or solve complex problems across various domains. This role highly values a rigorous analytical approach and expertise in statistical methodologies. The Statistics & Mathematics for Data Science & Data Analytics course is exceptionally well-suited for a Research Scientist Quantitative. Learners gain a deep understanding of hypothesis testing, regression analysis, and ANOVA, which are fundamental for experimental design, data interpretation, and drawing statistically sound conclusions. The course also builds a solid foundation in descriptive statistics and probability theory, essential for any quantitative research endeavor. This career path often requires an advanced degree.

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Data Analyst

A Data Analyst specializes in collecting, processing, and performing statistical analysis on large datasets to help organizations make informed decisions. This role involves identifying trends, creating reports, and communicating findings to stakeholders. The Statistics & Mathematics for Data Science & Data Analytics course provides the essential toolkit for a Data Analyst, starting with foundational descriptive statistics to summarize and visualize data effectively. Learners will master interpreting real-world data distributions, applying probability theory, and performing hypothesis tests to draw meaningful conclusions. The course also develops skills in regression analysis, which is vital for understanding relationships between variables. By focusing on how statistical methods enhance data-driven decision-making, it directly prepares individuals for the core responsibilities of a Data Analyst.

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Forecasting Analyst

A Forecasting Analyst specializes in predicting future trends, demand, sales, or other key metrics using statistical models and historical data. This role is crucial for strategic planning, resource allocation, and risk management across various industries. The Statistics & Mathematics for Data Science & Data Analytics course is particularly well-suited for a Forecasting Analyst. It provides extensive coverage of regression analysis, including simple and multiple linear regression, which are primary tools for building predictive models. Learners will understand how to quantify relationships between variables, evaluate model quality using metrics like MSE and RMSE, and apply probability theory to assess uncertainty in predictions, all vital skills for accurate and reliable forecasting.

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Operations Research Analyst

An Operations Research Analyst uses advanced analytical methods, including mathematical modeling and statistical analysis, to help organizations make better decisions and improve efficiency. This role involves optimizing complex systems, processes, and logistics across various industries. The Statistics & Mathematics for Data Science & Data Analytics course is highly applicable for an Operations Research Analyst. It equips learners with a strong understanding of probability theory, hypothesis testing, and regression analysis, which are fundamental for building predictive models and evaluating operational strategies. The course's focus on applying statistical methods to solve real-world data problems directly aligns with optimizing complex processes and enhancing data-driven decision-making in operations.

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Econometrician

An Econometrician applies statistical methods to economic data to test theories, analyze economic phenomena, and forecast future trends. This role demands a deep understanding of statistical inference and model building within an economic context. The Statistics & Mathematics for Data Science & Data Analytics course is highly relevant for an aspiring Econometrician. It provides comprehensive coverage of key statistical concepts such as descriptive statistics, probability theory, hypothesis testing, and various regression analyses which are fundamental to econometric modeling. Understanding how to quantify relationships between variables, evaluate model quality, and draw valid conclusions from data through techniques like ANOVA are all directly applicable. This career path typically requires an advanced degree.

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Biostatistician

A Biostatistician applies statistical theory and methods to analyze data arising from biological and health-related fields, such as clinical trials, public health studies, and genetics research. This role involves designing studies, analyzing complex datasets, and interpreting results to draw scientific conclusions. The Statistics & Mathematics for Data Science & Data Analytics course provides strong statistical and mathematical tools for a Biostatistician. It covers essential topics like descriptive statistics, probability theory, hypothesis testing, and ANOVA, which are critical for experimental design and data analysis in biological contexts. Proficiency in understanding confidence intervals, Type I and Type II errors, and performing various statistical tests are directly transferable skills. This career path typically requires an advanced degree.

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Decision Scientist

A Decision Scientist combines elements of data science, behavioral economics, and statistics to understand and improve decision-making processes within organizations. This role focuses on using data to provide strategic insights that lead to better choices and outcomes. The Statistics & Mathematics for Data Science & Data Analytics course is extremely relevant for a Decision Scientist. It provides a deep understanding of descriptive statistics, probability theory, hypothesis testing, and regression analysis. These tools are essential for analyzing decision outcomes, identifying influencing factors, and building models that predict the impact of various choices. The course's core emphasis on enhancing data-driven decision-making directly aligns with the fundamental purpose of this career.

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Quantitative Analyst

A Quantitative Analyst applies advanced mathematical and statistical methods to financial and business problems, often involving risk management, pricing models, and investment strategies. This role requires a strong analytical background to interpret complex data and develop predictive models. The Statistics & Mathematics for Data Science & Data Analytics course provides a solid foundation for a Quantitative Analyst, equipping learners with essential tools in probability theory, regression analysis, and hypothesis testing. Understanding statistical distributions, expected value, and model accuracy metrics like MSE and RMSE are crucial for building and validating quantitative models. The course's emphasis on applying statistical methods to solve real-world data problems directly supports the quantitative decision-making required in this field.

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Actuary

An Actuary assesses and manages financial risks, primarily for insurance and pension schemes, using mathematical and statistical models to predict future events. This role demands strong analytical skills and a deep understanding of probability and statistics. The Statistics & Mathematics for Data Science & Data Analytics course provides foundational statistical and mathematical tools for an Actuary. Specifically, the course covers probability theory, expected value, and various forms of regression analysis, which are critical for actuarial modeling and risk assessment. Understanding statistical distributions, hypothesis testing, and quantifying relationships between variables will aid in interpreting complex financial and demographic data. This career path typically requires passing a series of professional examinations.

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Financial Analyst Quantitative

A Financial Analyst Quantitative uses advanced analytical and statistical techniques to evaluate investment opportunities, assess market trends, and manage financial portfolios. This role requires a robust understanding of data modeling and statistical inference. The Statistics & Mathematics for Data Science & Data Analytics course provides essential statistical and mathematical tools for a Financial Analyst Quantitative. It covers regression analysis, which is vital for predicting financial data values and analyzing market correlations, as well as probability theory for understanding risk. Learners gain proficiency in evaluating model accuracy with metrics like MSE and RMSE, which are crucial for financial forecasting and strategy development. The course's real-world applications help translate statistical theory into practical financial insights.

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Market Research Analyst

A Market Research Analyst studies market conditions to examine potential sales of a product or service. This involves gathering and analyzing data on consumers and competitors to help businesses make informed decisions about product development, pricing, and marketing strategies. The Statistics & Mathematics for Data Science & Data Analytics course provides a solid foundation in descriptive statistics for understanding customer demographics and market trends, along with hypothesis testing for validating consumer preferences. Regression analysis can help predict market responses. The course's focus on interpreting data and enhancing data-driven decision-making directly supports the analytical tasks of this role.

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Business Intelligence Analyst

A Business Intelligence Analyst transforms raw data into understandable and actionable business insights, often through dashboards, reports, and visualizations. This role helps organizations monitor performance, identify trends, and support strategic decision-making. The Statistics & Mathematics for Data Science & Data Analytics course helps build a foundation in descriptive statistics, allowing for effective summarization and interpretation of business metrics. Understanding distributions, probability theory, and basic hypothesis testing enables more robust analysis of trends and performance indicators. While the role often focuses on reporting, the course's emphasis on data-driven decision-making helps individuals move beyond mere reporting to deeper analytical insights.

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Machine Learning Engineer

A Machine Learning Engineer designs, builds, and deploys algorithms and models that enable systems to learn from data and make predictions or decisions. This role requires a strong grasp of mathematical principles and statistical methodologies to ensure models are robust and performant. The Statistics & Mathematics for Data Science & Data Analytics course provides essential statistical and mathematical foundations for a Machine Learning Engineer. It delves into advanced regression techniques and introduces machine learning algorithms like decision trees and random forests. Understanding probability theory, hypothesis testing, and concepts like overfitting and model accuracy metrics (MSE, RMSE) are critical for developing, evaluating, and improving machine learning models effectively.

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Reading list

We've selected 50 books that we think will supplement your learning. Use these to develop background knowledge, enrich your coursework, and gain a deeper understanding of the topics covered in Statistics & Mathematics for Data Science & Data Analytics.

The Theory of Probability [Second Edition]

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Comprehensive introduction to probability theory, covering both the theoretical foundations and practical applications. It is suitable for both undergraduate and graduate students, and it has been highly praised for its clarity and rigor.

Statistics & Mathematics for Data Science & Data Analytics

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